If f(x)=int((1)/(x))^(sqrt(x))cost^(2)dt...

If `f(x)=int_((1)/(x))^(sqrt(x))cost^(2)dt(xgt0)" then "(df(x))/(dx)` is

A

`(sqrt(x)cosx+2cos(x^(-2)))/(2xsqrt(x))`

B

`(xsqrt(x)cosx+2cos(x^(-2)))/(2x^(2))`

C

`2sqrt(x)cosx-(2)/(x)cos((1)/(x))`

D

none of these

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